Answer:
Step-by-step explanation:
Hello!
The variable of interest is the readings on thermometers. This variable is normally distributed with mean μ= 0 degrees C and standard deviation σ= 1.00 degrees C.
The objective is to find the readings that are in the top 3.3% of the distribution and the lowest 3.3% of the distribution.
Symbolically:
The lower value P(X≤a)=0.033
Top value P(X≥b)=0.033
(see attachment)
Lower value:
The accumulated probability until "a" is 0.03, since the variable has a normal distribution, to reach the value of temperature that has the lowest 3.3%, you have to work under the standard normal distribution.
First we look the Z value corresponding to 0.033 of probability:
Z= -1.838
Now you reverste the standardization using the formula Z= (a-μ)/δ
a= (Z*δ)+μ
a= (-1.838*1)+0
a= -1.838
Top value:
P(X≥b)=0.033
This value has 0.033 of the distribution above it then 1 - 0.033= 0.967
is below it.
You can rewrite the expression as:
P(X≤b)=0.967
Now you have to look the value of Z that corresponds to 0.967 of accumulated probability:
b= (Z*δ)+μ
b= (1.838*1)+0
b= 1.838
The cutoff values that separates rejected thermometers from the others are -1.838 and 1.838 degrees C.
I hope it helps!
Answer:
6 rainy days
Step-by-step explanation:
If there were 4 sunny days for every rainy day, then sunny and rainy days together makes 5 sunny and rainy days. If you multiply that by 6 (to get the total of 30) you get 24 sunny days and 6 rainy days.
Answer:
∠AOC
Step-by-step explanation:
The statement "A to O to C" is talking about each of the points that form an angle. Each point is given a letter as its name.
The symbol ∠ <u>means angle</u>.
You need two lines to form an angle, and you need two points to form a line. By reusing one of the points, you need three points to form an angle. The point that is being reused is always the point in the middle, in this case, that point is called 'O'.
Answer:c
Step-by-step explanation:
Answer:
Bank West
$242.82
Step-by-step explanation:
To find which bank will yield more interest for Emilio, we can solve for the interest of each bank by using the Compound interest formula:
For the Bank West we have:
n = 4 Quarterly
t = 6 years
r = 3.8% or 0.038
P = 15820
Let's substitute them in the formula.
Now let's solve for the Interest. We subtract our total amount to the principal amount.
Interest = 19849.89 - 15820
Interest = 4029.89
Now let's solve for the First Bank.
n = 12 Monthly
t = 5 years
r = 4.3% or 0.043
P = 15820
Let's substitute them in the formula.
Now for the interest:
Interest = 19607.07 - 15820
Interest = 3787.07
This gives us:
Bank West Interest = $4029.89
First Bank Interest = $3787.07
So Bank West will earn more interest than First Bank.
To find how much more interest we subtract the interest of Bank West to First Bank.
4029.89 - 3787.07 = $242.82